SEMAIL ULGEN - Department of Industrial Engineering, Antalya Bilim University Ciplakl Mahallesi Farabi Caddesi No: ۲۳, Dösemealt, Antalya, ۰۷۱۹۰, Turkey

General (α, β) metrics form a rich and important class of metrics. Many well-known Finsler metrics of constant flag curvature can be locally expressed as a general (α, β) metrics. In this paper, we study the general (α, β) metrics with constant Ricci curvature (tensor) and constant flag curvature. Moreover we study the vanishing non-Riemannian quantity χ-curvature.

General (α, β) metrics, Constant Ricci curvature, Constant flag curvature, χ-curvature